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Finding the Fourth Proportional to 73,882.26, 110,772.76 and 26,496.33

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Solution

The fourth proportional to 73,882.26, 110,772.76 and 26,496.33 is: 39,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,882.26 : 110,772.76 = 26,496.33 : x
  2. Step 2: Convert to fraction form
    73,882.26/110,772.76 = 26,496.33/x
  3. Step 3: Cross multiply
    73,882.26x = 110,772.76 × 26,496.33
  4. Step 4: Simplify right side
    73,882.26x = 2,935,071,603.97
  5. Step 5: Solve for x
    x = 2,935,071,603.97/73,882.26
  6. Step 6: Final answer
    x = 39,726.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.